Answers
Quotient:
[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]
Remainder:
[tex]f(x) = 9x^2+68x+35[/tex]
By the remainder theorem,
[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]
Which is the remainder when f(x) is divided by (x+7)
Related Questions
Write the following numbers in order of size. Start with the smallest number. -8 2 -12 5 10
Answers
Answer:
-12, -8, 2, 5, 10
Step-by-step explanation:
-12, -8, 2, 5, 10
Answer:
-12, -8, 2, 5, 10
Step-by-step explanation:
We have to remember here that when integers are negative, the number that looks the biggest is actually the smallest! What do I mean? Well, a value of -100 is actually way smaller than a value of -1, since it's a lot farther to the left of 0 than -1 is. Does that make sense?
Let's take that in mind as we start looking at our values. If what I just said is true, -12 is the smallest value, since it's the farthest to the left of 0. Then comes -8. From there, it's not too hard. 2 is the next smallest, then 5, and finally, 10 is our greatest number.
So, our answer is -12, -8, 2, 5, 10. Hopefully that's helpful! :)
Which is the best estimate for the length this tube
Answers
Answer:
Step-by-step explanation:
In AFGH, GH = FG and mZF = 10°. Find mZH.
Answers
Answer:
f(x)= 40x
Step-by-step explanation:
Hope this helps, have a nice day/night! :D
If a ping pong ball falls from the top of a building that is 168 feet high, how many seconds will it take the ball to hit the ground
Answers
Answer:
3.2 seconds
Step-by-step explanation:
Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
URGENT PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
The correct answer will be option D.
Step-by-step explanation:
They both have a pretty fair chance of winning.
amara needs $624 for her budget every week. She works 40 hours a week.CLEARCHECKWhat is the minimum amount Tamara needs to earn per hour?$per hour
Answers
15.6 or
Step-by-step explanation:
Based on the given conditions, formulate:
624 ÷ 40
Reduce the fraction:
get the result:
15.6 or
Answer:
15.6 or
(Hope this helps can I pls have brainliest
se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?
Answers
What is the product of 0.15 x 0.32? *
Answers
Answer:
0.048
Step-by-step explanation:
Answer:
The answer to 0.15 x 0.32 is 0.048
What is the equation of the line that passes through the point (-6,-2)and has a slope of 1/6
Answers
Answer:
y = 1/6x -1
Step-by-step explanation:
Use point-slope form: y - y₁ = m (x - x₁)
y - (-2) = 1/6 (x - (-6))
y + 2 = 1/6x + 1
y = 1/6x - 1
Answer:
[tex]y=\frac{1}{6}x-1[/tex]
Step-by-step explanation:
According to,
y = mx + c
They have already given the slope of the line.
That means they've given value for m
So,
m = [tex]\frac{1}{6}[/tex]
And now we have to find the value of c ( the intercept on the y axis) using (-6,-2)
Here,
( -6 , -2 )
↑ ↑
( x , y )
Let us find the c now.
y = mx + c
[tex]-2 =\frac{1}{6} *-6+c\\-2=\frac{-6}{6} +c\\-2=-1+c\\-2+1=c\\-1=c[/tex]
Now let's write the equation of the line like this
y = mx+ c
[tex]y=\frac{1}{6}x-1[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Plz help me solve for x and y
Answers
Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given parallelogram ABCD :
∠A = 3x°∠B = 2y°∠C = 120°∠A = ∠C∠B = ∠D∠A + ∠B = 180°∠B + ∠C = 180°∠A + ∠B + ∠C + ∠D = 360°∠A = ∠C
3x = 120
x = 120 ÷ 3
x = 40°∠B + ∠C = 180°
2y + 120 = 180
2y = 180 - 120
2y = 60
y = 60 ÷ 2
y = 30°Answer:
x = 40°
y = 30°
Step-by-step explanation:
Given the diagram of a parallelogram, where:
∠A = 3x°, ∠B = 2y°, and ∠C = 120°
The given problem also requires us to find the values of x and y.
In reference to the Parallelogram Opposite Angles Theorem, where it states that: if a quadrilateral is a parallelogram, then it will have congruent opposite angles. In other words, ∠A ≅ ∠C , and ∠B ≅ ∠D.
Solve for x:Hence, we can establish the following equality statement to solve for the value of x:
m∠A = m∠C
3x° = 120°
Divide both sides by 3 to solve for x:
[tex]\displaystyle\mathsf{\frac{3x^{\circ}}{3}=\:\frac{120^{\circ}}{3}}[/tex]
x = 40°
Therefore, the value of x = 40°.
Solve for y:In order to solve for y, we must refer to the Parallelogram Consecutive Angles Theorem, where it states that if a quadrilateral is a parallelogram, then its consecutive angles are supplementary whose sum add up to 180°.
In the given diagram, ∠A and ∠D, ∠B and ∠C are consecutive angles.
We can establish the following equation to solve for the value of y:
m∠B + m∠C = 180°
2y° + 120° = 180°
Subtract 120° from both sides:
2y° + 120° - 120° = 180° - 120°
2y° = 60°
Divide both sides by 2 to solve for y:
[tex]\displaystyle\mathsf{\frac{2y^{\circ}}{2}=\:\frac{60^{\circ}}{2}}[/tex]
y = 30°
Therefore, the value of y = 30°.
Dillon earned $170 working 20 hours at the carwash what was his hourly rate of pay?
Answers
To find this answer, we must divide the amount Dillion earned, by the time he put into his work.
170 / 20 = 8.5
Therefor, we now know that Dillion makes $8.5 an hour.
Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answers
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
how to find the vertex of a parabola in standard form
Answers
Step-by-step explanation:
TO find the vertex, you need to find the x− and y− coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
x = -b over 2a
To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y
y=a(-b over 2a) squared + b(-b over 2a) + c
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answers
Answer:
No because the angle of point C is NOT congruent to the angle of point A.
Step-by-step explanation:
A quadrilateral MUST be a parallelogram if it has both pairs of its opposite angles congruent.
A line contains the points (-3,-9) and (4,5). What is the point-slope form of the line? A. y + 9 = -2 (x + 3)
B. y - 5 = 3 (x - 2)
C. y - 9 = 2 (x + 3)
D. y + 9 = 2 (x + 3)
Answers
Answer:
D
Step-by-step explanation:
First find the slope.
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{5-[-9]}{4-[-3]}=\dfrac{5+9}{4+3}\\\\\\=\dfrac{14}{7}=2[/tex]
Point slope form:
y - y1 = m(x -x1)
y -[-9] = 2 (x - [-3])
y +9 = 2 (x + 3)
x =
82
262
98
when answering this can you explain how you got the answer so i can stop asking brainly.
Answers
Answer:
82
Step-by-step explanation:
in a quadrilateral the sum of opposite sides should be 180 degrees
The angles opposite from each other are supplementary, meaning they equal 180 degrees
180 - 98 = 82
plz help will mark as brainliest
Answers
Explanation:
15/2 = 7.5
7.5 - 15 = -7.5
Step-by-step explanation:
tae tae tae tae tae tae tae tae
PLS HELP PLS ILL GIVE BRAINLKEST THANKS
Answers
Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?
Answers
Answer:
I think 2 1/2 for flour and 2 eggs
A service call for repairing your mower is $50 plus $80 per hour.
How many hours did it take to service your mower if the charge was
$90?
0.2 hours
0.5 hours
1.125 hours
2 hours
Answers
Answer:
0.5 hours
$130 = 1h
$90 = 30m/1h
HELP ME PLEASEEEEEE!!!!!!!!
Answers
Answer:
probs C
Step-by-step explanation:
hope it helps
The functions f and g are defined as follows.
3
f(x) = 3x - 3 g(x) = 3x' +5
Find f(-6) and g(-3).
Simplify your answers as much as possible.
f(-6) -
X
g(-3) =
Answers
-21
G(-3)=-4
Help me with this please
Answers
Answer:
5
Step-by-step explanation:
By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.
The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.
Find the slope of the table.
Answers
Answer:
Slope= -4
Step-by-step explanation:
Slope is rise over run (y over x)
So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.
So, the slope can be written as:
-8/2
Simplified to -4/1 or just -4
Write the system of equations below as a matrix
{2x - 7y = 4
{x - 3y = 3
Answers
Matrix:-
[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]
solve pls brainliest
Answers
Answer:
76%
Step-by-step explanation:
to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76
Answer:
76%
Step-by-step explanation:
percent is out of 100, so 19*4/25*4=76/100=76%
Please help with this question.
Answers
Answer:
x=52º
Step-by-step explanation:
A triangle's angles are equal to 180º.
Given the opposite angle to H is 66º, we can find the opposite angle of angle I. The opposite angle of angle K is 62º, assuming that it is equivalent to the opposite angle of angle I we can solve for x.
66+62+x=180
Add 66 and 62.
128+x=180
Subtract 128 from both sides of the equation.
x=52
Angle x is equal to 52º.
Hope this helps :)
A car travels 23 km in 15 minutes. How fast is it going in kilometres per hour?
Answers
Answer:
96 km/h.
Step-by-step explanation:
23 x
-- = ----
15 60
60/15 = 4
24 x 4 = 96
x = 96
if you subtract 15 from a number and multiply by-6, the result is -54. What is the number?
Answers
Answer:
24
Step-by-step explanation:
You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.
Answer:
the number is -5.7
Step-by-step explanation:
do everything in reverse operations,
-54 divided by -6= 9.3
9.3-15= -5.7
For proof you can do it yourself on a calculator.